Exceptional points in transistor-metamaterial inspired transmission lines
arxiv(2024)
摘要
Motivated by our recent findings in [Phys. Rev. Lett. 128, 013902, 2022],
which introduces a new class of electromagnetic bulk materials whose response
is similar to conventional semiconductor transistors, here we propose a
one-dimensional (1D) version of such a material based on transmission lines
coupled with FET isolators. We demonstrate that the response of this 1D system
is nonreciprocal and non-Hermitian, analogous to the idealized
transistor-metamaterial, and is also characterized by a broken time-reversal
symmetry. We analyze the wave propagation in the system and find that the
interaction between the eigenmodes can either lead to gain or loss depending on
the propagation distance. Furthermore, it is also shown that the system may be
operated at an exceptional point, wherein the response of the structure is
singular, and the power gain is maximized. Finally, we demonstrate that the
exceptional point coincides with the point of operation of typical microwave
amplifiers, such as the distributed amplifier.
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